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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 95, page id 175906937X:0119
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=119
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000119.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.73
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

N + CXHt
tadrr fi
b6 - bI
 reo hiasolb
a OpOI
conlequem
scacto ut
+ b. Den
b
3 he
b. TuM, e
ab IbI B3
ela
e.
ui hrabet
CDeI
lta
ntat, Ha
(23 = 11 ta2
acuraa
onem let
Ollatistet
FuITO raton
IM
A O U A Y L O H U HI.
invento, erit dd _bl. L bb =mm. Tum, comparando quareos
Terminos, habebMHEn3 ∞f3- L bdd, hoc elt, relticuro ralore dd
inrenco, cric f3 ∞H3- L bmm = b3 = bbl. Unde constat, cogni-
ea reraradice b, hanc aequationem x3 f lX X- b lx - 13 ∞00
cribus relquISIMterrITC.
L bb - bM
min I 
Denique, collatis ultimis terminis, habebimus pr ∞ bf3. unde
sequitur, f. aequari; _, cognita vera radiceb, hanc aequatio-
DCm X3-L- lXX L bl X- D0ad eresreliquas esse reterendaM.
L bb
WB
Lroposrio
Peoscp prepenscione, Hac ex duabus, x3 L CX X = d d X
(3 ∞ O_x - b ∞ 0, hxec aequatio x =- = 6∞3 - d d X x - f3 X F b53 ∞0.
- b - b6 + bdcb
Suppolitis autem cmajore quam b, ee b d d majore quam f3, habe-
bic ipla eandem Formam acque seprima proxolicio xt - L l X3 -
MM XX L n X ( p+ ∞ O, aC per conlequens eju (deM CTUNE Ma-
cura de consticurionis. Fiat erso adaquatio, unde comparando
Secundos terminos habebiimus l∞06 = b, hoc est, 00b - l.
Deinde, collatistertiiscerminis, habebitur m m ∞ d d - L bc, hoc
est, relticuendo ralorem cinventum, fier d d ∞ m m - bb =- bl.
Tum ex comparatione quartorum terminorum habebimus n∞
bdd = f3, hoc eA, substicuto valore dd invenco, erit (3 ∞ bmm -
b3 = bb1 - n3. Unde sequitur, cognita vera radiceb, aequatio-
nem hanC X3 F b X X =MMX =bmm∞ O reliquiseribus inSeEVIIC.
+1
+ bb +b3
L b1
L bbb
L B.
olceto CoMletenaoulumos ceiminos, habCb2mu3 P 30)
un de sequitur, s. aequari ; e, cognit a vera radice b, hanc aequa-
Ei